Question

For a population that is not normally distributed, the distribution of the sample means will ______....

For a population that is not normally distributed, the distribution of the sample means will ______.

Question 8 options:

1)

be negatively skewed

2)

approach a normal distribution

3)

be positively skewed

4)

take the same shape as the population

For a population that is not normally distributed, the distribution of the sample means will ______.

Question 8 options:

1)

be negatively skewed

2)

approach a normal distribution

3)

be positively skewed

4)

take the same shape as the population
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

For a population that is not normally distributed, the distribution of the sample means will take the same shape as the population.

Answer is " take the same shape as the population"

Option 4 is correct.

Explanation:
If the population distribution is normal , then the sampling distribution of sample means is also normal.

But , if the population is not normally distributed, then the sampling distribution of sample means is not normal when the sample size is small i.e.n < 30.

But if the sample size is large i.e. n 30 , and even if if the population is not normally distributed, then the sampling distribution of sample means is approximately normal.

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